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Finding the Third Proportional to 100,948.50 and 218,618

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Solution

The third proportional to 100,948.50 and 218,618 is: 473,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,948.50 : 218,618 = 218,618 : x
  2. Step 2: Convert to fraction form
    100,948.50/218,618 = 218,618/x
  3. Step 3: Cross multiply
    100,948.50x = 218,618 × 218,618
  4. Step 4: Simplify right side
    100,948.50x = 47,793,829,924
  5. Step 5: Solve for x
    x = 47,793,829,924/100,948.50
  6. Step 6: Final answer
    x = 473,447.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.